The energetic neutrinos induced by the delayed decay of \(\phi \)  might be probed by neutrino experiments. The neutrino flux at present is calculated as [1]},
\(\Phi _{\rm cos}\equiv E_\nu ^2 \frac{d\varphi }{dE_\nu }=E_\nu \left(\frac{n_{\phi }}{\tau _{\phi }}\right)\left(\frac{e^{-t(x)/\tau _{\phi }}}{H(x)}\right)\theta ^{^{\prime }}(x),\) 
